Arielle Cruz
To determine the weight of ethyl alcohol, also known as ethanol, that fills a container, one must consider the density and volume of the substance. The density of ethyl alcohol is 0.789 g/mL, and by multiplying this figure by the volume, one can calculate the weight. For example, 200 mL of ethyl alcohol weighs approximately 157.8 grams, while 300 mL weighs approximately 236.7 grams. These calculations are fundamental in chemistry, showcasing the relationship between weight, density, and volume.
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What You'll Learn
Density, mass, and volume formula
The weight of ethyl alcohol that fills a container can be calculated using the formula that relates density, mass, and volume. The density of ethyl alcohol is 0.789 g/mL.
The density of a substance is its mass per unit volume. The formula for density is:
Density = Mass/Volume
We can rearrange this formula to solve for mass:
Mass = Density x Volume
To calculate the volume of an object, we can use the formula:
Volume = Mass / Density
Calculating the Weight of Ethyl Alcohol
To find the weight of ethyl alcohol that fills a 200.0 mL container, we can use the formula for mass:
Mass = Density x Volume
Substituting the given values:
Mass = 0.789 g/mL x 200.0 mL
Mass = 157.8 g
To find the weight, we need to convert the mass from grams to kilograms, as weight is calculated using the formula:
Weight = Mass x Acceleration due to gravity
Where the acceleration due to gravity (g) is approximately 9.8 m/s².
First, let's convert grams to kilograms:
8 g = 0.1578 kg
Now, we can calculate the weight:
Weight = 0.1578 kg x 9.8 m/s²
Weight ≈ 1.55 N
Therefore, the weight of ethyl alcohol that exactly fills a 200.0 mL container is approximately 1.55 Newtons.
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Ethyl alcohol density
Ethyl alcohol, also known as ethanol, is an organic compound with the chemical formula CH3CH2OH. It is a volatile, flammable, colorless liquid with a pungent taste and is the active ingredient in alcoholic beverages. The density of ethyl alcohol is 0.789 grams per millilitre (g/mL) or 0.789 grams per cubic centimetre (g/cm³) at 20 degrees Celsius. This means that 1 millilitre of ethyl alcohol has a mass of 0.789 grams, and this density value can be used to determine the mass of ethyl alcohol in a given volume.
For example, to calculate the weight of ethyl alcohol that exactly fills a 25 mL graduated cylinder, we can use the density formula: Density = Mass / Volume. Solving for mass, we get: Mass = Density x Volume. Substituting the values, Mass = 0.789 g/mL x 25 mL = 19.725 grams. Therefore, the weight of ethyl alcohol that exactly fills a 25 mL graduated cylinder is approximately 19.73 grams to the nearest hundredth of a gram.
The density of ethyl alcohol can also be used to determine the volume of a given mass of the substance. For instance, to find the volume of 1.85 kilograms of ethyl alcohol, we can rearrange the density formula to solve for volume: Volume = Mass / Density. Substituting the values, Volume = 1.85 kg / 0.789 g/mL = 2.345 litres. Thus, 1.85 kilograms of ethyl alcohol occupies a volume of approximately 2.35 litres.
Additionally, the density of ethyl alcohol can be used to identify the concentration of ethanol in a solution. For example, if we have a mixture of 15.0 mL of 95% ethanol and water in a flask, we can calculate the mass of the ethanol component by multiplying its volume by its density: Mass = Volume x Density. Mass of ethanol = 15.0 mL x 0.789 g/mL = 11.835 grams. This calculation helps in determining the mass or volume of ethanol in a diluted solution.
It is important to note that the density of ethyl alcohol may vary slightly depending on factors such as temperature and pressure. The density value mentioned earlier (0.789 g/mL) is commonly used at room temperature or 20 degrees Celsius. At different temperatures, the density can change, as seen in one example where the density of ethyl alcohol at 25 degrees Celsius is given as 0.790 g/mL. These minor variations in density should be considered when making precise calculations involving ethyl alcohol.
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Mass calculation
To calculate the weight of ethyl alcohol, we need to know the density and volume of the substance. The density of ethyl alcohol is 0.789 g/mL.
Let's break down the steps to calculate the mass of ethyl alcohol that exactly fills a given volume.
Calculating the Mass of Ethyl Alcohol
Step 1: Understand the Formula
The formula to calculate mass is:
> Mass = Density x Volume
Here, density is the mass per unit volume of the substance. So, if we multiply the density by the given volume, we can find the mass.
Step 2: Convert Volume to the Same Unit as Density
Ensure that the volume is in the same unit as the density. For example, if the volume is given in milliliters (mL), convert it to liters (L) by multiplying the volume in mL by (1 L / 1000 mL).
Step 3: Plug and Multiply
Now, plug the values of density and volume into the formula and multiply them together. This will give you the mass of ethyl alcohol in grams.
Step 4: Convert to Kilograms (Optional)
If required, you can convert the mass in grams to kilograms by dividing by 1000.
Step 5: Calculate Weight (Optional)
To find the weight, we can use the formula:
> Weight = Mass x Acceleration due to Gravity
The acceleration due to gravity (g) is approximately 9.8 m/s². So, multiply the mass by 9.8 to get the weight in Newtons.
Examples
Example 1: Ethyl Alcohol in a 200 mL Container
For a 200 mL container of ethyl alcohol, we first convert the volume to liters:
200 mL x (1 L / 1000 mL) = 0.2 L
Then, we calculate the mass:
Mass = Density x Volume
Mass = 0.789 g/mL x 0.2 L
Mass = 157.8 g
To find the weight, we convert mass to kilograms:
8 g = 0.1578 kg
And then calculate the weight:
Weight = Mass x Acceleration due to Gravity
Weight = 0.1578 kg x 9.8 m/s²
Weight ≈ 1.55 Newtons
Example 2: Ethyl Alcohol in a 300 mL Container
For a 300 mL container of ethyl alcohol, we calculate the mass as follows:
Mass = Density x Volume
Mass = 0.789 g/mL x 300 mL
Mass = 236.7 g
Example 3: Ethyl Alcohol in a 250 mL Container
If we have a 250 mL container of ethyl alcohol, the mass is calculated as:
Mass = Density x Volume
Mass = 0.789 g/mL x 250 mL
Mass = 197.25 g
Mass of Ethyl Alcohol in a 4.5 m^3 Tank
Now, let's apply these steps to find the mass of ethyl alcohol that exactly fills a 4.5 m^3 tank.
First, we ensure the volume and density are in the same units. The density is given in g/mL, so we need to convert the volume from cubic meters to liters:
5 m^3 x (1000 L / 1 m^3) = 4500 L
Now, we can calculate the mass:
Mass = Density x Volume
Mass = 0.789 g/mL x 4500 L
Mass = 3550.5 g
So, the mass of ethyl alcohol that exactly fills a 4.5 m^3 tank is 3550.5 grams.
In conclusion, to find the mass of ethyl alcohol, we multiply its density by the given volume. This calculation is based on the definition of density as mass per unit volume, allowing us to determine mass when we know the density and volume of a substance.
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Converting mass to weight
The mass of an object remains constant, but its weight varies depending on the gravitational pull acting on it. For example, the weight of an object on Earth is different from its weight on the Moon due to the difference in gravitational force between the two celestial bodies.
Weight is the measure of how strongly gravity pulls on an object, and mass is a measure of how much matter is in an object. Weight and mass are often used interchangeably in everyday conversation, but they represent different scientific concepts.
To convert mass to weight, you need to know the mass of the object and the acceleration due to gravity, which varies depending on your location. The formula for this conversion is: weight = mass x acceleration due to gravity.
Let's consider an example to illustrate this conversion process. Suppose we have a 200.0 mL container filled with ethyl alcohol, which has a density of 0.789 g/mL. To find the weight of the ethyl alcohol in this container, we first calculate its mass by multiplying the density by the volume:
Mass = Density x Volume
Mass = 0.789 g/mL x 200.0 mL
Mass = 157.8 grams
Now that we have the mass, we can convert it to weight. The acceleration due to gravity near the Earth's surface is approximately 9.8 m/s². Using the formula for weight, we can calculate:
Weight = Mass x Acceleration Due to Gravity
Weight = 157.8 grams x 9.8 m/s²
Weight ≈ 1.55 Newtons
Therefore, the weight of the ethyl alcohol in the 200.0 mL container is approximately 1.55 Newtons.
It's important to note that weight can be measured in various units, including Newtons (N), pounds (lb), ounces (oz), kilograms (kg), and grams (g). When performing conversions between mass and weight, ensure that you're using consistent units and that your acceleration due to gravity value is appropriate for your location.
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Weight calculation
To calculate the weight of ethyl alcohol, also known as ethanol, we need to know the volume of the container it fills and the density of the ethanol. The density of ethanol is given as 0.789 g/mL at 20 degrees Celsius.
Let's take an example to understand the calculation better. Suppose we have a graduated cylinder filled with 25 mL of ethanol. To find the weight, we first convert the volume from mL to liters:
25 mL x (1 L / 1000 mL) = 0.025 L
Next, we multiply the volume by the density to get the weight:
Weight = Volume x Density = 0.025 L x 0.789 g/mL = 0.019725 g
So, the weight of the ethanol in the graduated cylinder is approximately 0.019725 grams.
This method of calculation can be used for any volume of ethanol by simply substituting the given volume and using the density of ethanol at that specific temperature. It is a straightforward way to convert volume to mass using density, which is a fundamental concept in chemistry.
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Frequently asked questions
The weight of ethyl alcohol that fills a 200ml container is 157.8 grams or 158 grams.
The weight of ethyl alcohol that fills a 300ml container is 236.7 grams.
The density of ethyl alcohol is 0.789 g/ml.
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